Finding the Third Proportional to 27.84 and 51.89

Step by Step Solution

1. Step 1: Write the proportion equation
   27.84 : 51.89 = 51.89 : x
2. Step 2: Convert to fraction form
   27.84/51.89 = 51.89/x
3. Step 3: Cross multiply
   27.84x = 51.89 × 51.89
4. Step 4: Simplify right side
   27.84x = 2,692.64
5. Step 5: Solve for x
   x = 2,692.64/27.84
6. Step 6: Final answer
   x = 96.71